May 18, 2024

2016-2017 Catalog

2016-2017 Catalog [ARCHIVED CATALOG]

Course Descriptions

UNDERGRADUATE COURSES

Lower Division Courses numbered 1–99 are designed primarily for freshmen and sophomores but are open to all students for lower division credit. (Graduate students requesting to enroll in lower-division undergraduate courses will not receive unit credit nor will the course fulfill degree requirements.) Upper Division Courses courses numbered 100–199 are open to all students who have met the necessary prerequisites as indicated in the catalog course description. Preparation should generally include completion of one lower division course in the given subject or completion of two years of college work.

GRADUATE COURSES

Courses numbered 200–299 are open to graduate students. (Undergraduate students must obtain the signature of the instructor, School Dean, and the Dean of Graduate Studies. Graduate level units will count towards the required 120 units for graduation; however students are urged to meet with their academic advisor in order to determine if graduate course units may be used to fulfill a graduation requirement.)

CROSS-LISTED/CONJOINED COURSES

Cross-listed Courses are the same course offered under different course subjects at the same level (either undergraduate or graduate) that share the same meeting time, requirements, units, etc. Conjoined Courses are the same course but one is undergraduate and one is graduate.

COREQUISITE COURSE

A corequisite course is a course that must be taken at the same time as another course.

PREREQUISITES

Prerequisites for courses should be followed carefully; the responsibility for meeting these requirements rests on the student. If you can demonstrate that your preparation is equivalent to that specified by the prerequisites, the instructor may waive these requirements for you. The instructor also may request that a student who has not completed the prerequisites be dropped from the course. If the prerequisite for a course is not satisfied, students must obtain the approval of the instructor (or school designee) of the course they wish to take.

For all undergraduate courses a “C-” or better grade is required for a course to be used as a prerequisite for another course. If a course was taken for a “P/NP” grade then a “P” grade is required.

For all graduate courses a “B” or better grade is required for a course to be used as a prerequisite for another course. If a course was taken for a “S/U” grade then a “S” grade is required.

FOREIGN LANGUAGES

No credit is allowed for completing a less advanced course after successful completion (C-or better) of a more advanced course in the foreign languages. This applies only to lower division foreign language courses, not upper division courses.

GRADING OPTIONS

Unless otherwise stated in the course description, each course is letter graded with a P/NP or S/U option (unless required for your major or graduate program). The policy regarding Grading Options , can be found in an alternate section of the catalog.

More information about Course Substitutions and Course Materials and Services Fees can be found in alternate areas of the catalog.

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Management
	MGMT 199: Upper Division Individual Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	MGMT 290: Quantitative Labor Studies Seminar [3 units] Research presentations by visiting scholars in the area of quantitative labor studies. Satisfactory/Unsatisfactory only. Cross-Listed with ECON 290 . View course scheduling information
Materials Science and Engineering
	MSE 109: Materials Thermodynamics [4 units] Thermodynamic laws and principles. Thermodynamics of solid solutions. Phase equilibria in materials systems of one, two and three components. Nucleation and growth vs. spinodal decomposition. Determination and interpretation of equilibrium binary and ternary phase diagrams for metals, ceramics and polymers. Quantitative applications of Ellingham diagrams, phase diagrams and Pourbaix diagrams. Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) and ENGR 045 . Open only to major(s): Materials Sci and Engineering, Bioengineering, Physics, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering, Chemical Sciences. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion included. View course scheduling information
	MSE 110: Solid State Materials Properties [4 units] Structure of atomic and molecular solids; crystallography of inorganic and organic solids; symmetry; short range order; 1-, 2- and 3- dimensional defects; energy levels; band theory of conductors, semiconductors and insulators; mechanical, thermal, optical and magnetic properties of materials and their relevance to processing and devices. Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) and ENGR 045 . Open only to major(s): Materials Sci and Engineering, Bioengineering, Physics, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering, Chemical Sciences. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Laboratory included. View course scheduling information
	MSE 111: Materials Kinetics and Processing [4 units] Application of kinetic principles to the study of mass transport processes, transformations and reactions in engineering materials. Thermal (including catalytically assisted) activation and rates of processes; nucleation and growth; phase transformations; control of micro- and nano-structure. Applications and case studies relevant to the processing of metals, polymers, ceramics and nanomaterials. Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam) and ENGR 130 , which may be taken concurrently. Open only to major(s): Bioengineering, Materials Sci and Engineering, Physics, Environmental Engineering, Mechanical Engineering, Chemical Sciences, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion included. Conjoined with BEST 204 . View course scheduling information
	MSE 112: Materials Selection and Performance [3 units] Design considerations in the use of materials; quality control; selecting materials to optimize multiple properties; materials failure; long-term materials properties; materials behavior under extreme conditions; corrosion; discussion of design and materials selection strategy; processing and process selection strategy; process economics; life-cycle thinking and eco-design; special topics. Prerequisite: ENGR 045 and good academic standing. Open only to major(s): Materials Sci and Engineering, Bioengineering, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion, Laboratory included. View course scheduling information
	MSE 113: Materials Characterization [4 units] Characterization of materials structure and properties. Interactions between electromagnetic radiation and matter, and between electron beams and matter. Principles of image formation; Fourier methods and convolution; image processing. X-ray diffraction, optical and electron imaging and diffraction; scanned probe methods. Thermal analysis. Mechanical property and failure characterization. Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (PHYS 009 or PHYS 009H ). Open only to major(s): Applied Mathematical Sciences, Materials Sci and Engineering, Bioengineering, Earth Systems Science, Physics, Environmental Engineering, Mechanical Engineering, Chemical Sciences, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Offered spring only. Laboratory included. View course scheduling information
	MSE 114: Polymeric Materials [4 units] Relationships between molecular characteristics, thermodynamics, kinetics, microstructure and properties in the context of polymeric materials. Students will apply their knowledge of physics, chemistry, mathematics and biology to develop a proficient understanding of how structure and processing affect the properties and performance of biological and synthetic polymers. Prerequisite: ENGR 045 . Open only to major(s): Materials Sci and Engineering, Bioengineering, Applied Mathematical Sciences, Earth Systems Science, Physics, Environmental Engineering, Mechanical Engineering, Chemical Sciences, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion included. Conjoined with BEST 224 . View course scheduling information
	MSE 115: Ceramic Materials [3 units] Crystallography of inorganic compounds; packing and connectivity of co-ordination polyhedral. Defects in ionic and covalent crystals and their effect on properties. Ceramics, glasses and cements. Engineering ceramics. Production of powders; compaction; sintering; control of nanostructure and microstructure; bulk defects. Zeolites. Hydration of cement and concrete. Biological ceramics. Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (PHYS 009 or PHYS 009H ) and ENGR 045 . View course scheduling information
	MSE 116: Composites [3 units] Hard materials and soft materials. Roles of matrix and filler phases. “Rule of mixtures” as a function of morphology and connectivity. Length scale effects: nanocomposites, microcomposites and macrocomposites. Biological composites. Porous materials. Interface characteristics and their effect on properties. Toughening mechanisms in composites. Processing and joining. Structure and property characterization. Prerequisite: (PHYS 009 or PHYS 009H ) and ENGR 045 . View course scheduling information
	MSE 117: New Materials [3 units] Sustainable materials and the Environment. “Whole life cycle” concepts and sustainability. Sustainability and eco design. Minimizing resource consumption. Limiting emissions and waste. Analyzing the product life cycle. Green materials. Self-assembling materials. Self-healing materials. Biological and bio-inspired materials. Prerequisite: ENGR 045 and good academic standing. Open only to major(s): Materials Sci and Engineering, Bioengineering, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion, Laboratory included. View course scheduling information
	MSE 118: Introduction to Nanotechnology and Nanoscience [3 units] An introduction for engineers in nanotechnology and nanoscience. Topics covered include nanoscale phenomena; nanofabrication (top-down and bottom-up approaches); and applications relevant to engineering, the physical sciences and biology. Interdisciplinary aspects of nanotechnology and nanoscience are discussed, including perspectives from materials science, chemistry, physics, and biology. Prerequisite: (MATH 021 or equivalent exam) and (PHYS 008 or PHYS 008H or equivalent exam) and (CHEM 002 or CHEM 002H or equivalent exam). Normal Letter Grade only. Offered fall only. View course scheduling information
	MSE 119: Materials Simulations [3 units] Difference between modeling, theory and simulations. Atomic and molecular scale modeling. Ab initio, Monte Carlo and molecular dynamics methods. Lattice models. Mesoscale and multiscale modeling. Finite element methods. Modeling phase separation, nanostructure and microstructure evolution, and material properties. A computational project using a modeling software will be performed. Prerequisite: ENGR 045 and good academic standing. Open only to major(s): Bioengineering, Materials Sci and Engineering, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion, Laboratory included. View course scheduling information
	MSE 120: Materials Capstone Design [3 units] Design project based on materials selection and performance evaluation, with reference to engineering standards and realistic constraints that include the following considerations: economic, environmental, sustainability, processability, ethical, health and safety, social, political. A different project will be implemented on each occasion that the course is offered. Prerequisite: MSE 112 and MSE 113 . Open only to major(s): Materials Sci and Engineering. Open only to standing(s): Senior. Normal Letter Grade only. Laboratory included. Cross-Listed with ENGR 190 . View course scheduling information
	MSE 121: Mechanical Behavior of Materials [4 units] Matrix, tensor, and representation surface descriptions of stress, strain, and material properties (elastic, plastic, photoelastic and piezoelectric). Isotropic and anisotropic properties. Microscopic and macroscopic response of materials to stress, including plasticity due to dislocation motion, twinning and martensitic transformations. Kinetics of plastic deformation. Applications to materials processing, strengthening, and failure. Prerequisite: ENGR 045 . Open only to major(s): Bioengineering, Materials Sci and Engineering, Applied Mathematical Sciences, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Discussion included. Conjoined with BEST 221 . View course scheduling information
	MSE 126: Nanodevice Fabrication: Bridging Research and Education [4 units] Basic properties of nanomaterials and their applications as transducers (the lecture part). Nanomaterial synthesis using both solution and vapor-based approaches will be performed and a transducer will be fabricated and tested (the lab part). The interactive and experiential education will be blended with theoretical concepts. Prerequisite: (CHEM 002 or CHEM 002H or equivalent exam) and (PHYS 009 or PHYS 009H or PHYS 019 ). ENGR 065 strongly recommended. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Laboratory included. Cross-Listed with BIOE 126 . Conjoined with BEST 226 . View course scheduling information
	MSE 195: Upper Division Undergraduate Research [1-5 units] Supervised research. Permission of instructor required. Course may be repeated for credit. View course scheduling information
	MSE 198: Upper Division Directed Group Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	MSE 199: Upper Division Individual Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. Laboratory included. View course scheduling information
Mathematics
	Syllabus MATH 005: Preparatory Calculus [4 units] Preparation for calculus. Analyzing data by means of functions (linear, quadratic, polynomial, logarithmic, exponential and trigonometric) and graphs with an emphasis on mathematical modeling of real-world applications. Course cannot be taken after successfully completing MATH 011 or MATH 021 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 011: Calculus I [4 units] Introduction to differential and integral calculus of functions of one variable, including exponential, logarithmic and trigonometric functions, emphasizing conceptual understanding and applying mathematical concepts to real-world problems (approximation, optimization). Course does not lead to MATH 023 , MATH 024 . Prerequisite: MATH 005 or equivalent exam. Not open to major(s): Applied Mathematical Sciences, Materials Sci and Engineering, Bioengineering, Physics, Environmental Engineering, Mechanical Engineering, Chemical Sciences, Computer Science and Engineering. For majors that do not require more than two semesters of calculus courses. Course may not be taken for credit after obtaining credit for: MATH 021 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 012: Calculus II [4 units] Continuation of MATH 011 . Introduction to integral calculus of functions of one variable and differential equations, emphasizing conceptual understanding and applying mathematical concepts to real-world problem. Course does not lead to MATH 023 , MATH 024 . Prerequisite: MATH 011 or MATH 021 or equivalent exam. Not open to major(s): Materials Sci and Engineering, Bioengineering, Applied Mathematical Sciences, Physics, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering, Chemical Sciences. For majors that do not require more than two semesters of calculus courses. Course may not be taken for credit after obtaining credit for: MATH 022 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 015: Introduction to Scientific Data Analysis [2 units] Fundamental analytical and computational skills to find, assemble and evaluate information, and to teach the basics of data analysis and modeling using spreadsheets, statistical tool, scripting languages, and high-level mathematical languages. Prerequisite: MATH 005 or MATH 011 or MATH 021 , any of which may be taken concurrently, or equivalent exam. Not open to major(s): Materials Sci and Engineering, Bioengineering, Undeclared Engineering, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering. Normal Letter Grade only. Laboratory included. View course scheduling information
	Syllabus MATH 018: Statistics for Scientific Data Analysis [4 units] Analytical and computational methods for statistical analysis of data. Descriptive statistics, graphical representations of data, correlation, regression, causation, experiment design, introductory probability, random variables, sampling distributions, inference and significance. Prerequisite: (MATH 005 or MATH 011 or MATH 021 or equivalent exam) and (MATH 015 or CSE 020 or CSE 005 or ENVE 105 or equivalent exam). Course cannot be taken for credit after successfully completing MATH 032 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 021: Calculus I for Physical Sciences and Engineering [4 units] An introduction to differential and integral calculus of functions of one variable. Elementary functions such as the exponential and the natural logarithm, rates of change and the derivative with applications to physical sciences and engineering. Prerequisite: MATH 005 or equivalent exam. Open only to major(s): Applied Mathematical Sciences, Bioengineering, Materials Sci and Engineering, Earth Systems Science, Physics, Environmental Engineering, Mechanical Engineering, Computer Science and Engineering, Chemical Sciences. Course may not be taken for credit after obtaining credit for: MATH 011 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 022: Calculus II for Physical Sciences and Engineering [4 units] Continuation of MATH 021 . Analytical and numerical techniques of integration with applications, infinite sequences and series, first order ordinary differential equations. Prerequisite: MATH 021 or equivalent exam. Open only to major(s): Materials Sci and Engineering, Bioengineering, Applied Mathematical Sciences, Earth Systems Science, Physics, Environmental Engineering, Mechanical Engineering, Chemical Sciences, Computer Science and Engineering. Course may not be taken for credit after obtaining credit for: MATH 012 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 023: Vector Calculus [4 units] Calculus of several variables. Topics include parametric equations and polar coordinates, algebra and geometry of vectors and matrices, partial derivatives, multiple integrals, and introduction to the theorems of Green, Gauss, and Stokes. Prerequisite: MATH 022 or equivalent exam. Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 024: Linear Algebra and Differential Equations [4 units] Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations and linear systems of differential equations. Prerequisite: MATH 022 or equivalent exam. Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 032: Probability and Statistics [4 units] Concepts of probability and statistics. Conditional probability, independence, random variables, distribution functions, descriptive statistics, transformations, sampling errors, confidence intervals, least squares and maximum likelihood. Exploratory data analysis and interactive computing. Prerequisite: MATH 023 , which may be taken concurrently. Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 050: Beginning MATLAB Programming [2 units] This half-semester minicourse introduces students to the writing, implementing, and testing of MATLAB algorithms to solve mathematical problems. Topics include programming syntax, data visualization, debugging, and coding aesthetics. Prerequisite: MATH 022 or equivalent exam. Normal Letter Grade only. View course scheduling information
	MATH 090X: Freshman Seminar [1 unit] Topics in mathematics. Normal Letter Grade only. View course scheduling information
	MATH 091: General Topics in Applied Mathematics [1 unit] Introduction to a variety of concepts useful in applied mathematics. Topics covered included floating point arithmetic, methods of proofs, random walks, stereographic projections, transforms, etc. Students are exposed to advanced mathematical topics in preparation for their ongoing studies. Prerequisite: MATH 023 and MATH 024 , both of which may be taken concurrently. Pass/Fail only. View course scheduling information
	MATH 095: Lower Division Undergraduate Research [1-6 units] Supervised research in mathematics. Permission of instructor required. Normal Letter Grade only. View course scheduling information
	MATH 098: Lower Division Directed Group Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	MATH 099: Lower Division Individual Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	MATH 101: Real Analysis [4 units] Introduction to rigorous mathematical proofs and concepts pertaining to real numbers. The class will cover the structure of real numbers, sequences, series and functions of real numbers, and, time permitting, concepts of abstract algebra. Prerequisite: MATH 023 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 122: Complex Variables and Applications [4 units] Introduction to complex variables, analytic functions, contour integration and theory of residues. Mappings of the complex plane. Introduction to mathematical analysis. Prerequisite: MATH 023 and MATH 024 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 125: Intermediate Differential Equations [4 units] An introduction of advanced solution techniques for ordinary differential equations (ODE) and elementary solution techniques for partial differential equations (PDE). Specific topics include higher-order linear ODE, power series methods, boundary value problems, Fourier series, Sturm-Liouville theory, Laplace transforms, Fourier transforms, and applications to one-dimensional PDE. Prerequisite: MATH 023 and MATH 024 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 126: Partial Differential Equations [4 units] An introduction to the theory of boundary value and initial value problems for partial differential equations with emphasis on linear equations. Topics covered include Laplace’s equation, heat equation, wave equation, application of Sturm-Liouville’s theory, Green’s functions, Bessel functions, Laplace transform, method of characteristics. Prerequisite: MATH 125 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 130: Numerical Analysis [4 units] Introduction to numerical methods with emphasis on the analysis and implementation of numerical methods. Topics covered: computer arithmetic, solution of nonlinear equations in one variable, interpolation and polynomial approximation, elements of approximation theory, numerical differentiation and integration, and introduction to initial-value problems for ordinary differential equations. Prerequisite: MATH 024 and (ME 021 or (CSE 020 and CSE 021 or equivalent exam)). Open only to major(s): Applied Mathematical Sciences. Course may not be taken for credit after obtaining credit for: MATH 131 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 131: Numerical Methods for Scientists and Engineers [4 units] Introduction to numerical methods with emphasis on algorithm construction and implementation. Programming, round-off error, solutions of equations in one variable, interpolation and polynomial approximation, approximation theory, direct solvers for linear systems, numerical differentiation and integration, initial-value problems for ordinary differential equations. Prerequisite: (MATH 024 and ME 021 ) or (CSE 020 and CSE 021 or equivalent exam). Not open to major(s): Applied Mathematical Sciences. Course may not be taken for credit after obtaining credit for: MATH 130 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 132: Numerical Methods for Differential Equations [4 units] Introduction to numerical methods with emphasis on the analysis and implementation of numerical methods. Topics covered: Initial- and boundary-value problems for ordinary differential equations, methods to solve linear systems, eigenvalue problems, and numerical solutions to partial differential equations. Prerequisite: MATH 125 and (MATH 130 or MATH 131 ). Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 140: Mathematical Methods for Optimization [4 units] Linear programming and a selection of topics from among the following: matrix games, integer programming, semidefinite programming, nonlinear programming, convex analysis and geometry, polyhedral geometry, the calculus of variations and control theory. Matlab implementation of several algorithms. Prerequisite: (MATH 130 or MATH 131 , either of which may be taken concurrently) and (MATH 023 and MATH 024 ) and ((CSE 020 and CSE 021 or equivalent exam) or ME 021 ). Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 141: Linear Analysis I [4 units] Applied linear analysis of finite dimensional vector spaces. Review of matrix algebra, vector spaces, orthogonality, least-squares approximations, eigenvalue problems, positive definite matrices, singular value decomposition with applications in science and engineering. Prerequisite: MATH 023 and MATH 024 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 142: Linear Analysis II [4 units] Applied linear analysis of infinite dimensional vector spaces. Inner product spaces, operators, adjoint operators, Fredholm alternative, spectral theory, Sturm-Liouville operators, distributions and Green’s functions with applications in science and engineering. Prerequisite: MATH 141 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 146: Numerical Linear Algebra [4 units] Matrix factorization and iterative methods for solving systems of linear equations. Topics include floating point arithmetic, eigenvalue problems, conditioning and stability, LU factorization, QR factorization, and SVD with applications in science and engineering. Prerequisite: MATH 141 and MATH 131 , both of which may be taken concurrently. Normal Letter Grade only. Laboratory included. View course scheduling information
	MATH 150: Mathematical Modeling [4 units] Introduction to the basics of mathematical modeling emphasizing model construction, analysis and application. Using examples from a variety of fields such as physics, biology, chemistry and economics, students will learn how to develop and use mathematical models of real-world systems. Prerequisite: (MATH 131 or MATH 130 ) and (MATH 125 or MATH 141 ). Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 171: Mathematical Logic [4 units] Introduction to the meta-theory of first-order logic. Topics include the consistency, compactness, completeness and soundness proofs for propositional and first-order logic; model theory; the axiomatization of number theory; Gödel’s incompleteness theorems and related results. Prerequisite: PHIL 005 . Discussion included. Cross-Listed with PHIL 160 . View course scheduling information
	MATH 180: Modern Applied Statistics [4 units] Introduction to modern applied statistics emphasizing computational methods to deal with high-dimensional data. Multivariate linear and nonlinear regression, model selection, overfitting, cross-validation, bootstrapping and quantification of uncertainty in model parameters and predictions, principal component analysis, and classification. Prerequisite: MATH 024 and MATH 032 . Normal Letter Grade only. Laboratory included. View course scheduling information
	MATH 181: Stochastic Processes [4 units] Introduction to stochastic processes with emphasis on problem-solving using both analytical and computational techniques. Markov chains in discrete and continuous time, martingales, branching processes, renewal processes, and Brownian motion. Prerequisite: MATH 024 and MATH 032 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 195: Upper Division Undergraduate Research [1-5 units] Supervised research. Permission of instructor required. Course may be repeated for credit. View course scheduling information
	MATH 198: Upper Division Directed Group Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	MATH 199: Upper Division Individual Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	Syllabus MATH 201: Teaching and Learning in the Sciences [1 unit] Students will be introduced to ‘scientific teaching’ - an approach to teaching science that uses many of the same skills applied in research. Topics will include how people learn, active learning, designing, organizing and facilitating teachable units, classroom management, diversity in the classroom and assessment design. Satisfactory/Unsatisfactory only. Cross-Listed with PHYS 201 . View course scheduling information
	Syllabus MATH 221: Partial-Differential Equations I [4 units] Partial differential equations (PDEs) of applied mathematics. Topics include modeling physical phenomena, linear and nonlinear first-order PDEs, D’Alembert’s solution, second-order linear PDEs, characteristics, initial and boundary value problems, separation of variables, Sturm-Liouville problem, Fourier series, Duhamel’s Principle, linear and nonlinear stability. Prerequisite: MATH 122 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 222: Partial-Differential Equations II [4 units] Continuation of MATH 221 . Topics include integral transforms, asymptotic methods for integrals, integral equations, weak solutions, point sources and fundamental solutions, conservation laws, Green’s functions, generalized functions, variational properties of eigenvalues and eigenvectors, Euler-Lagrange equations, Maximum principles. Prerequisite: MATH 221 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 223: Asymptotics and Perturbation Methods [4 units] Asymptotic evaluation of integrals, matched asymptotic expansions, multiple scales, WKB, and homogenization. Applications are made to ODEs, PDEs, difference equations, and integral equations to study boundary and shock layers, nonlinear wave propagation, bifurcation and stability, and resonance. Prerequisite: MATH 221 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 224: Advanced Methods of Applied Mathematics [4 units] Basic real analysis (metric spaces, continuity, contraction mapping theorem), Banach spaces, Hilbert spaces, linear operators, bounded operators, compact operators, spectral theory, distributions, Fourier transforms, a priori estimates, energy estimates, existence/uniqueness theory, variational calculus, and applications of the above material to concrete problems in applied mathematics. Prerequisite: MATH 221 and MATH 222 . Normal Letter Grade only. Discussion included. View course scheduling information
	Syllabus MATH 231: Numerical Solution of Differential Equations I [4 units] Examines fundamental methods typically required in the numerical solution of differential equations. Topics include direct and indirect methods for linear systems, nonlinear systems, interpolation and approximation, eigenvalue problems, ordinary-differential equations (IVPs and BVPs), and finite differences for elliptic partial-differential equations. A significant amount of programming is required. Prerequisite: MATH 132 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 232: Numerical Solution of Differential Equations II [4 units] Fundamental methods presented in MATH 231 are used as a base for discussing modern methods for solving partial-differential equations. Numerical methods include variational, finite element, collocation, spectral, and FFT. Error estimates and implementation issues are discussed. A significant amount of programming is required. Prerequisite: MATH 231 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 233: Scientific Computing [4 units] Theoretical and practical introduction to parallel scientific computing. Survey of hardware and software environments, and selected algorithms and applications. Topics include linear systems, N-body problems, FFTs, and methods for solving PDEs. Practical implementation and performance analysis are emphasized in the context of demonstrative applications in science and engineering. Prerequisite: MATH 232 . Normal Letter Grade only. Discussion included. View course scheduling information
	MATH 270: Academic Writing in Graduate Studies [3 units] Designed to increase the writing proficiency of graduate students, with a focus on strategies for reading critically, organizing and developing thoughts, choosing appropriate vocabulary, and generating and revising writing in a given scientific field. Topics address scientific disciplines. Projects may include writing abstracts, research reports, literature reviews, posters, and grant proposals. Open only to major(s): Chemistry and Chemical Biology, Quantitative and Systems Biology, Physics, Applied Mathematics. Cross-Listed with CHEM 270 , PHYS 270 , QSB 270 . View course scheduling information
	MATH 291: Applied Mathematics Seminar [1 unit] Seminar series covering various topics in applied mathematics presented by faculty, graduate students, and visiting speakers. Permission of instructor required. Satisfactory/Unsatisfactory only. Course may be repeated for credit. View course scheduling information
	Syllabus MATH 292: Special Topics in Applied Mathematics [1-4 units] Treatment of a special topic or theme in applied mathematics at the graduate level. May be repeated for credit in a different subject area. Permission of instructor required. Students may choose Satisfactory/Unsatisfactory grading option with consent of instructor. Course may be repeated for credit. View course scheduling information
	MATH 295: Graduate Research [1-12 units] Supervised research. Permission of instructor required. Satisfactory/Unsatisfactory only. Course may be repeated for credit. Laboratory included. View course scheduling information
	MATH 298: Directed Group Study [1-12 units] Group project under faculty supervision. Permission of instructor required. Course may be repeated for credit. Laboratory included. View course scheduling information
	MATH 299: Directed Independent Study [1-6 units] Permission of instructor required. Course may be repeated for credit. Laboratory included. View course scheduling information
	Syllabus MATH 399: University Teaching [1 unit] Centered on a student’s classroom experiences as a Teaching Assistant in an undergraduate Applied Mathematics course. Provides a faculty-directed opportunity to implement teaching practices presented in the course Teaching and Learning in the Sciences. Involves video-taping of teaching, peer review, and weekly meetings with faculty. Permission of instructor required. Satisfactory/Unsatisfactory only. Course may be repeated 1 time for credit. Discussion, Laboratory included. View course scheduling information
Mechanical Engineering
	ME 021: Engineering Computing [4 units] Introduction to Fortran and Matlab. Concepts of formatted input/output, data types, variables, arrays, strings, variable scopes, logic statements, loops and repetition, functions and subroutines, and data graphing. Computing examples are drawn from mechanical engineering topics including linear algebraic equations, root search, two and three-dimensional graphics. Open only to standing(s): Freshman, Sophomore. Normal Letter Grade only. Laboratory included. View course scheduling information
	ME 120: Component Design [3 units] Three-dimensional stress analysis; deflection and stiffness; static an dynamic loading; failure theories and fatigue; fasteners; welded joints; mechanical springs; bearing; gears; shafts; clutches; brakes and couplings; belts and pulleys. Prerequisite: ENGR 151 . Normal Letter Grade only. View course scheduling information
	ME 135: Finite Element Analysis [4 units] Introduce the basic fundamentals of the finite element methods. Beginning with simple one-dimensional problem, continuing to two- and three-dimensional elements, and ending with some applications in heat transfer, solid mechanics and fluid mechanics. Covers modeling, mathematical formulation, computer implementation and engineering software. Prerequisite: MATH 023 and MATH 024 . Normal Letter Grade only. Laboratory included. View course scheduling information
	ME 136: Aerodynamics [4 units] Methodologies for conducting wind tunnel experiments; Navier-Stokes Equations; Scaling; Prandtl Systems and Boundary Layer Theory; Circulation; Vorticity; Drag and Lift; Airfoil Theory; Source and Vortex Panel Methods; Compressible Flows. Prerequisite: ENGR 120 and MATH 032 . Normal Letter Grade only. Laboratory included. View course scheduling information
	ME 137: Computer Aided Engineering [3 units] Introduction to the use of modern computational tools used for design and analysis. Primary focus will be on product design with solid modeling and finite-element analysis. Software used is representative of that found in industry. Topics such as 2-D and 3-D drawing, tolerance specification, and FEA validation are also covered. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Offered fall only. Laboratory included. View course scheduling information
	ME 140: Vibration and Control [4 units] Dynamics of particles and rigid bodies. Vibration of discrete systems with finite degrees of freedom and continuous structures including beams and plates. Resonance, anti-resonance, damping, and modal coupling. Modal analysis. Proportional, derivative and integral feedback controls of vibrations. Stability concept. Control design by root locus and frequency domain method. Prerequisite: MATH 024 and ENGR 057 . Normal Letter Grade only. Offered spring only. Laboratory included. View course scheduling information
	ME 141: Linear Controls [3 units] Dynamics of Linear Systems, Concepts of Stability, Feedback Control, Root Locus Design, Frequency-Domain Analysis and Compensator Design, State-Space Representation, Controllability and Observability, Linear Observers, Matrix Methods for Control Design, Linear Quadratic Regulator (LQR) Optimal Control. Prerequisite: MATH 024 and ME 140 . Normal Letter Grade only. View course scheduling information
	ME 142: Mechatronics [4 units] Introduction to electro-mechanical systems controlled by microcontroller technology. The course covers theory, design and construction of smart systems; closely coupled and fully integrated products and systems; the synergistic integration of sensors, interfaces, actuators, microcontrollers, control and information technology. Prerequisite: ENGR 057 and ENGR 065 . Normal Letter Grade only. Laboratory included. View course scheduling information
	ME 144: Introduction to Multi-body Dynamics [3 units] Rigid body mechanics (Rotation parameterization, Newton-Euler equations, inertia tensor), Interconnected bodies (joints, actuators, controllers), Equations of motion (Lagrange’s equations, Lagrange multipliers, body jack, DAEs) and Analyses (kinematic, static, quasi-static, dynamic, kinetostatic, linear-dynamic). Prerequisite: ENGR 151 and MATH 131 and ME 140 , which may be taken concurrently. Background in vector mechanics, differential equations, numerical methods, linear algebra, MATLAB-Simulink, and Vibrations recommended. Normal Letter Grade only. Laboratory included. Conjoined with ME 244 . View course scheduling information
	ME 170: Mechanical Engineering Capstone Design [3 units] Design project must be selected and approved; project feasibility study and outline of the design project is completed; design methodology, optimization, product reliability and liability, economics, use of ASME codes. A final presentation is given at the end of the semester. Prerequisite: ME 120 and ENGR 135 and ME 137 . Open only to standing(s): Senior. Normal Letter Grade only. Laboratory included. Cross-Listed with ENGR 190 . View course scheduling information
	ME 188: Machine Shop Technology [1 unit] Introduction to machine shop technology. Study of basic measuring tools, vernier calipers, steel rules, and micrometers, layout tools, hand tools. Emphasis in the theory and practice in the use of vertical milling machine, lathes and drilling machines. Pass/Fail only. Course may be repeated 2 times for credit. Laboratory included. View course scheduling information
	ME 190: Special Topics in Mechanical Engineering [1-4 units] Lectures on special topics within Mechanical Engineering that are not covered in the regularly scheduled courses. Each ME 190 class will have a specific focus which will be defined by the instructor of the course on a semester-by-semester basis. Open only to major(s): Mechanical Engineering. Open only to standing(s): Junior, Senior. Normal Letter Grade only. Course may be repeated 4 times for credit. Laboratory included. View course scheduling information
	ME 195: Upper Division Undergraduate Research [1-4 units] Supervised research. Permission of instructor required. Course may be repeated for credit. View course scheduling information
	ME 198: Upper Division Directed Group Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	ME 199: Upper Division Individual Study [1-5 units] Permission of instructor required. Pass/Fail only. Course may be repeated for credit. View course scheduling information
	ME 201: Advanced Dynamics [4 units] Rigid body dynamics, including topics such as: dynamical systems, motion representation and constraints, Newtonian, Lagrangian and Hamiltonian mechanics, stability analysis and introduction to multibody dynamics. Prerequisite: Knowledge of topics in MATH 024 and ENGR 057 . Normal Letter Grade only. Course may be repeated 1 time for credit. Offered fall only. View course scheduling information
	ME 202: Transport Phenomena [4 units] Systematic analysis of fluid flow, heat transfer and mass transfer phenomena, with emphasis on the analogies and specific techniques used in treating such boundary value problems. Prerequisite: Knowledge of topics in ENGR 135 . Normal Letter Grade only. Offered spring only. View course scheduling information
	ME 210: Linear Controls [3 units] Dynamics of Linear Systems, Concepts of Stability, Feedback Control, Root Locus Design, Frequency-Domain Analysis and Compensator Design, State-Space Representation, Controllability and Observability, Linear Observers, Matrix Methods for Control Design, Linear Quadratic Regulator (LQR) Optimal Control. Prerequisite: Knowledge of linear algebra, differential equations, and Vibration and Controls strongly recommended. Normal Letter Grade only. View course scheduling information
	ME 211: Nonlinear Controls [4 units] Phase plane and singularities. Methods for nonlinear analysis. Lyapunov stability theory. Passivity. Lyapunov control design. Topics of nonlinear controls including feedback linearization, sliding control and back stepping design. Adaption algorithms and system identification. Discussion of current research topics in nonlinear controls. Permission of instructor required. Normal Letter Grade only. View course scheduling information
	ME 215: Matrix Methods in Dynamics and Control [4 units] Review of mathematical theory and computations of matrix. LU decomposition. Singular value decomposition. QR decomposition. Schur decomposition. Eigen-decomposition. Cholesky decomposition. Expansion theorem. Pseudoinverse and solution of linear algebraic equations. Matrix representation of dynamical systems, the fundamental solution, and control formulation. Optimal sliding surface. Other engineering applications. Prerequisite: Knowledge of topics in ME 140 Vibration recommended. Permission of instructor required. Normal Letter Grade only. View course scheduling information
	ME 220: Continuum Mechanics [4 units] Cartesian tensors in mechanics, coordinate transformations, analysis of stress and strain, principal values, invariants, equilibrium and compatibility equations, constitutive relations, field equations; problems in elasticity; computational methods. Prerequisite: Knowledge of topics in ENGR 120 . Normal Letter Grade only. Offered fall only. View course scheduling information
	ME 221: Rheology [4 units] Basic concepts (forces, displacements, stress, tensor, strain, etc.), linear and nonlinear elastic solids, linear viscous fluids, linear viscoelastic fluids and solids, and selected topics in nonlinear viscoelastic behavior. Normal Letter Grade only. View course scheduling information
	ME 229: Tribology [3 units] Tribology is the study of components moving in relative motion. As such, this course will cover the areas of friction, wear and lubrication. Specific topics include surface properties, wear of materials, frictional contact and energy dissipation, fluid lubricated bearings, lubrication of highly loaded contacts, and nanoscale tribological phenomena. Normal Letter Grade only. View course scheduling information
	ME 231: Conduction Heat Transfer [3 units] Heat conduction fundamentals; one-and multi-dimensional steady state; transient conduction; hyperbolic conduction. Solution methods (separation of variables, integral transforms, integral method, numerical methods). Prerequisite: Knowledge of undergraduate physics sequence, thermodynamics and heat transfer recommended. Normal Letter Grade only. View course scheduling information
	ME 232: Convective Heat and Mass Transfer [3 units] Fluid transport properties and relevant conservation equations. Momentum, heat and mass transfer in laminar and turbulent internal and external flows. Buoyancy driven flows (free convection). Heat transfer in high-speed flow. Convective mass transfer. Special topics in heat and mass transfer; e.g., ablation, combustion, forced convection boiling and condensation (2-phase flow). Prerequisite: Knowledge of undergraduate thermodynamics, heat transfer and graduate fluid mechanics strongly recommended. Normal Letter Grade only. View course scheduling information
	ME 236: Advanced Mass Transfer [4 units] Steady and unsteady mass diffusion; mass convection, simultaneous heat and mass transfer; Fick’s law in a moving medium; similarity and integral methods in mass transfer; high mass transfer theory; research project in mass transport. Prerequisite: ENGR 135 or ES 235 . Normal Letter Grade only. Course may be repeated 1 time for credit. Cross-Listed with ES 236 . View course scheduling information
	ME 237: Radiative Heat Transfer [3 units] Thermal radiation fundamentals; radiative properties of opaque surfaces; radiative exchange between opaque surfaces; radiative transfer equation; radiative properties of gases and particles; radiative exchange in participating media. Prerequisite: Undergraduate physics sequence and thermodynamics. Undergraduate heat transfer recommended. Normal Letter Grade only. View course scheduling information
	ME 244: Introduction to Multi-body Dynamics [3 units] Rigid body mechanics (Rotation parameterization, Newton-Euler equations, inertia tensor), Interconnected bodies (joints, actuators, controllers), Equations of motion (Lagrange’s equations, Lagrange multipliers, body jack, DAEs) and Analyses (kinematic, static, quasi-static, dynamic, kinetostatic, linear-dynamic). Prerequisite: Background in vector mechanics, differential equations, numerical methods, linear algebra, MATLAB-Simulink, and Vibrations required. Normal Letter Grade only. Laboratory included. Conjoined with ME 144 . View course scheduling information
	ME 250: Compressible Flows [4 units] Addresses the effects of compressibility in viscous and inviscid flows; steady and unsteady inviscid subsonic and supersonic flows; method of characteristics; small disturbance theories (linearized and hypersonic); shock dynamics; and hypersonic flows. Students are expected to be conversant in materials that are covered in ENGR 120 or the equivalent course. Normal Letter Grade only. View course scheduling information
	ME 251: Viscous Flows [4 units] Study of the Navier-Stokes equations; Stokes’ problems; creeping flows; internal and external flows; similarity and integral methods in boundary layer flows; stability and transition to turbulence. Prerequisite: Knowledge of topics in ENGR 135 or ES 235 required. Normal Letter Grade only. Course may be repeated 1 time for credit. Offered fall only. Cross-Listed with ES 237 . View course scheduling information
	ME 254: Computational Fluid Dynamics [4 units] Fundamentals of computational theory and computational methods. The first part covers material fundamentals to the understanding and application of numerical methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and convective heat transfer. Normal Letter Grade only. View course scheduling information
	ME 255: Theory and Modeling of Cold Plasmas [3 units] Introduction to physical mechanisms relevant to the fourth state of matter: plasmas. Emphasis will be on low-temperature laboratory plasmas and will deal with topics including particle dynamics in electromagnetic fields, two-fluid and kinetic models that govern the physics of plasmas. Normal Letter Grade only. View course scheduling information

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Course Descriptions

UNDERGRADUATE COURSES

GRADUATE COURSES

CROSS-LISTED/CONJOINED COURSES

COREQUISITE COURSE

PREREQUISITES

FOREIGN LANGUAGES

GRADING OPTIONS

MGMT 199: Upper Division Individual Study

MGMT 290: Quantitative Labor Studies Seminar

MSE 109: Materials Thermodynamics

MSE 110: Solid State Materials Properties

MSE 111: Materials Kinetics and Processing

MSE 112: Materials Selection and Performance

MSE 113: Materials Characterization

MSE 114: Polymeric Materials

MSE 115: Ceramic Materials

MSE 116: Composites

MSE 117: New Materials

MSE 118: Introduction to Nanotechnology and Nanoscience

MSE 119: Materials Simulations

MSE 120: Materials Capstone Design

MSE 121: Mechanical Behavior of Materials

MSE 126: Nanodevice Fabrication: Bridging Research and Education

MSE 195: Upper Division Undergraduate Research

MSE 198: Upper Division Directed Group Study

MSE 199: Upper Division Individual Study

MATH 005: Preparatory Calculus

MATH 011: Calculus I

MATH 012: Calculus II

MATH 015: Introduction to Scientific Data Analysis

MATH 018: Statistics for Scientific Data Analysis

MATH 021: Calculus I for Physical Sciences and Engineering

MATH 022: Calculus II for Physical Sciences and Engineering

MATH 023: Vector Calculus

MATH 024: Linear Algebra and Differential Equations

MATH 032: Probability and Statistics

MATH 050: Beginning MATLAB Programming

MATH 090X: Freshman Seminar

MATH 091: General Topics in Applied Mathematics

MATH 095: Lower Division Undergraduate Research

MATH 098: Lower Division Directed Group Study

MATH 099: Lower Division Individual Study

MATH 101: Real Analysis

MATH 122: Complex Variables and Applications

MATH 125: Intermediate Differential Equations

MATH 126: Partial Differential Equations

MATH 130: Numerical Analysis

MATH 131: Numerical Methods for Scientists and Engineers

MATH 132: Numerical Methods for Differential Equations

MATH 140: Mathematical Methods for Optimization

MATH 141: Linear Analysis I

MATH 142: Linear Analysis II

MATH 146: Numerical Linear Algebra

MATH 150: Mathematical Modeling

MATH 171: Mathematical Logic

MATH 180: Modern Applied Statistics

MATH 181: Stochastic Processes

MATH 195: Upper Division Undergraduate Research

MATH 198: Upper Division Directed Group Study

MATH 199: Upper Division Individual Study

MATH 201: Teaching and Learning in the Sciences

MATH 221: Partial-Differential Equations I

MATH 222: Partial-Differential Equations II

MATH 223: Asymptotics and Perturbation Methods

MATH 224: Advanced Methods of Applied Mathematics

MATH 231: Numerical Solution of Differential Equations I

MATH 232: Numerical Solution of Differential Equations II

MATH 233: Scientific Computing

MATH 270: Academic Writing in Graduate Studies

MATH 291: Applied Mathematics Seminar

MATH 292: Special Topics in Applied Mathematics

MATH 295: Graduate Research

MATH 298: Directed Group Study

MATH 299: Directed Independent Study

MATH 399: University Teaching